Algebra II: Quadratic Functions and Their Graphs: Vertex Form
Goal 2 Algebra - The learner will use relations and functions to solve problems.
Objective 2.02 Use quadratic and inequalities to model and solve problems; justify results.
Solve using tables, graphs, and algebraic properties.
Interpret the constants and coefficients in the context of the problem.
Description
The lesson is an introduction to the forms of quadratic equations and the resulting graphs of those equations. There is a focus on vertex form rather than standard form. Before any instruction, a pre-assessment involving some prior knowledge will help activate previous graphical concepts. Vertex is a completely new concept for students coming from Algebra I and Geometry. Personal handheld voting devices are used during the pre-assessment and will provide me with useful formative data. There is a very brief presentation on vertex form to allow the students to get acclimated with its existence, but no more than basic introductory concepts (i.e. the point (h, k) represents the vertex of the parabola). The partner assignment allows students to manipulate values within the equation and witness the graphical changes they produce; students then present their results to the class, checking for questions and understanding. The end of the lesson is marked by an independent assignment in which students must synthesize information from the lesson and derive equations from existing graphs.
John Phillips
Algebra II: Quadratic Functions and Their Graphs: Vertex FormGoal 2 Algebra - The learner will use relations and functions to solve problems.
Objective 2.02 Use quadratic and inequalities to model and solve problems; justify results.
Description
The lesson is an introduction to the forms of quadratic equations and the resulting graphs of those equations. There is a focus on vertex form rather than standard form. Before any instruction, a pre-assessment involving some prior knowledge will help activate previous graphical concepts. Vertex is a completely new concept for students coming from Algebra I and Geometry. Personal handheld voting devices are used during the pre-assessment and will provide me with useful formative data. There is a very brief presentation on vertex form to allow the students to get acclimated with its existence, but no more than basic introductory concepts (i.e. the point (h, k) represents the vertex of the parabola). The partner assignment allows students to manipulate values within the equation and witness the graphical changes they produce; students then present their results to the class, checking for questions and understanding. The end of the lesson is marked by an independent assignment in which students must synthesize information from the lesson and derive equations from existing graphs.
Partner Activity form: http://tinyurl.com/25w6xnu
Independent Activity/HW form: http://tinyurl.com/2clsjnp